proof app:A-long-proofs@proof-31

open in the book · appendices/A-long-proofs.tex:3056

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proof : app:A-long-proofs@proof-31prooflemma A.44: ℝ is an ordered fieldA.44definition 4.32: Field4.32definition A.41: AdditionA.41definition A.43: MultiplicationA.43lemma A.42: (ℝ, +) is an ordered abelian groupA.42

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typedirectionnode provenancewhere
proves $\R$ is an ordered field declared appendices/A-long-proofs.tex:3056